Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.
Let the polynomial be

Then,

=

=

=

If a = 1 then,

Hence,

Question

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively.

Philoid · Accepted Answer

Let the polynomial be

Then,

=

If a = 1 then,

Hence,